Question

The figure shows a pattern of a regular octagon and squares.
Which of the following describes a method to find the measure of angle x?

The side of the octagon extends to form the diagonal of the square. The sum of x and 45° is 360°. x = 360°- 45°.

The interior angle of the octagon is 360° minus the interior angle of the square. x = 360° – 90°.

Extend the side of the octagon to get the diagonal of the square. The exterior angle of the octagon is 90° ÷ 2 = 45°. x = 180°- 45°.

The exterior angle of the octagon is the same as the interior angle of the square. x = 180°- 90°.

Answer 1

The side of the octagon extends to form the diagonal of the square. The sum of x and 45° is 360°. x = 360°- 45°.

Wrong. The sum of x and 45 is 180.

The interior angle of the octagon is 360° minus the interior angle of the square. x = 360° – 90°.

Wrong. They don't add up to 360. (Look at the picture)

Extend the side of the octagon to get the diagonal of the square. The exterior angle of the octagon is 90° ÷ 2 = 45°. x = 180°- 45°.

Correct. The diagonal dissects the angle, so it is 45, and interior angle + exterior angle =180

The exterior angle of the octagon is the same as the interior angle of the square. x = 180°- 90°.

Wrong. Um... This is quite obvious. No.

Answer 2

Thank you

Answer 3

As Always. You are welcome.^^